Answer:
The function for the success rate is given as follows;
[tex]The \ success \ rate \ function \ is \, f(x) = \dfrac{12+x}{13+x} \times 100[/tex]
Step-by-step explanation:
The number of shots Jerimiah made = 12 shots
The number of shots Jerimiah takes = 13 shots
[tex]The \ success \ rate = \dfrac{The \ number \ of \ shots \ made}{The \ number \ of shots \ taken} \times 100[/tex]
The current success rate is given as follows;
[tex]The \ success \ rate = \dfrac{12}{13} \times 100 \approx 92.31 \%[/tex]
Let 'x' represent the number of more shots Jerimiah has to make to have a success rate of 95%, we get;
[tex]The \ success \ rate \ function, \, f(x) = 95\% = \dfrac{12+x}{13+x} \times 100[/tex]
0.95·(13 + x) = 12 + x
12.35 + 0.95·x = 12 + x
0.35 = 0.05·x
x = 0.35/0.05 = 7
Therefore, Jeremiah has to make the next seven shots to have a success rate of 95%
